Polynomial Cauchy functional equations: a report
Mortini, R., Pflug, P. & Sasane, A.
(2024).
Polynomial Cauchy functional equations: a report.
Elemente der Mathematik,
80(3), 97 - 108.
https://doi.org/10.4171/EM/531
(2024).
Polynomial Cauchy functional equations: a report.
Elemente der Mathematik,
80(3), 97 - 108.
https://doi.org/10.4171/EM/531
We study the functional equation f(x + y) − f(x) − f(y) ∈ R[x, y], determine under a natural additional condition all solutions and show that the only continuous solutions are polynomials.
